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dc.contributor.authorGenovese, Giuseppe
dc.contributor.authorLucatti, Renato
dc.contributor.authorValeri, Daniele
dc.date.accessioned2015-05-18T12:00:00Z
dc.date.accessioned2016-10-05T14:14:01Z
dc.date.available2015-05-18T12:00:00Z
dc.date.available2016-10-05T14:14:01Z
dc.date.issued2015-05-18
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1095
dc.descriptionResearch in Pairs 2014en_US
dc.description.abstractWe study the one dimensional periodic derivative nonlinear Schrödinger (DNLS) equation. This is known to be a completely integrable system, in the sense that there is an infinite sequence of formal integrals of motion $\int h_k, k \in \mathbb{Z}_+$. In each $\int h_{2k}$ the term with the highest regularity involves the Sobolev norm $\dot{H}^k(\mathbb{T})$ of the solution of the DNLS equation. We show that a functional measure on $L^2(\mathbb{T})$, absolutely continuous w.r.t. the Gaussian measure with covariance $(\mathbb{I}+(-\Delta)^k)^{-1}$, is associated to each integral of motion $\int h_{2k}, k \geq 1$.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2015,04
dc.titleGibbs measures associated to the integrals of motion of the periodic derivative nonlinear Schrödinger equationen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2015-04
local.scientificprogramResearch in Pairs 2014
local.series.idOWP-2015-04
dc.identifier.urnurn:nbn:de:101:1-201505125086
dc.identifier.ppn165683104X


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